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Finding the Third Proportional to 40,345,098,639 and 88,290,329,481

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Solution

The third proportional to 40,345,098,639 and 88,290,329,481 is: 193,212,621,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345,098,639 : 88,290,329,481 = 88,290,329,481 : x
  2. Step 2: Convert to fraction form
    40,345,098,639/88,290,329,481 = 88,290,329,481/x
  3. Step 3: Cross multiply
    40,345,098,639x = 88,290,329,481 × 88,290,329,481
  4. Step 4: Simplify right side
    40,345,098,639x = 7,795,182,279,863,538,024,448
  5. Step 5: Solve for x
    x = 7,795,182,279,863,538,024,448/40,345,098,639
  6. Step 6: Final answer
    x = 193,212,621,677.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.